View the book

(~680 pg)Read Online
(41.4 M)PDF
(28.4 M)B/W PDF
(641.1 K)EPUB
(~680 pg)Kindle
(~680 pg)Daisy
(1.3 M)Full Text
(16.5 M)DjVu

All Files: HTTPS Torrent (2/0)

Resources

Bookmark

The collected mathematical papers of James Joseph Sylvester (December 1904)

Author: Sylvester, James Joseph, 1814-1897; Baker, H. F. (Henry Frederick), 1866-1956
Volume: 1
Subject: Mathematics
Publisher: Cambridge, University press
Possible copyright status: NOT_IN_COPYRIGHT
Language: English
Call number: 84246365_001
Digitizing sponsor: University of California Libraries
Book contributor: University of California Libraries
Collection: cdl; americana

Full catalog record: MARCXML

This book has an editable web page on Open Library.

Description

Vol. 1

Write a review
Downloaded 1,884 times Reviews
Average Rating:

Reviewer: a e b - - March 13, 2012
Subject: four volumes of good reading
J. J. Sylvester was an early explorer of what is now called classical invariant theory. However, the work for which he is often remembered is his theory of elimination. Given two homogenous polynomials in two variables, Sylvester eliminated the variables to find the condition that the two polynomials have a common root. He was not the first here. But he was the first to apply the approach to three homogenous polynomials in three variables, i.e. the condition that 3 plane curves intersect in a common point. He called this the 'dialytic method' of elimination. Several papers in volume 1 develop this. I have used Sylvester's papers on several occasions with problems of this nature. However, a word of warning. Frank Morley, 'The Eliminant of a Net of Curves' in the American Journal of Mathematics, 1925, had trouble using Sylvester's method in some instances, so developed another approach. However, for the applications I have had over the years, Sylvester's method has always given the correct result.

Turning to another area, Sylvester has several papers that provide the (total) number of covariants of given degree and order for a binary form of some fixed degree. This was an area of great interest in the 19th century, until Hilbert's theorems resulted in reduced interest here. Sylvester's papers are still make quite interesting reading, even though invariant theory has moved on from these types of questions.

These four volumes contain papers on many areas of mathematics, and they make very good reading.

Selected metadata

Identifier:	collectedmathem01sylvrich
Copyright-evidence-operator:	j.mauthe
Copyright-region:	US
Copyright-evidence:	Evidence reported by j.mauthe for item collectedmathem01sylvrich on Mar 16, 2006; no visible copyright symbol and date found; stated date is 1904; the country of the source library is the United States; not published by the US government.
Copyright-evidence-date:	2006-03-16 19:42:21
Scanningcenter:	rich
Mediatype:	texts
Operator:	scanner-gwen-a
Scanner:	rich6
Scandate:	20060316204318
Imagecount:	680
Filesxml:	Fri Mar 17 2:20:36 GMT 2006
Sponsordate:	20060609223056
Ppi:	400
Identifier-access:	http://www.archive.org/details/collectedmathem01sylvrich
Identifier-ark:	ark:/13960/t7hq3tb3m